Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31701	Simplify the Radical Expression	square root of (7x)/(10y^3)	$\sqrt{\frac{7 x}{10 y^{3}}}$
31702	Convert from Degrees to Radians	-210deg	$- 210$ degrees
31703	Find the Product	(-4a+b)(4a+b)	$(- 4 a + b) (4 a + b)$
31704	Factor	y^2+(1/y)^2+2-5y-5/y	$y^{2} + {(\frac{1}{y})}^{2} + 2 - 5 y - \frac{5}{y}$
31705	Convert to a Decimal	900deg	$900$ degrees
31706	Evaluate the Limit	limit as x approaches 4 of (5x-20)/(9-3x)	$lim_{x \to 4} \frac{5 x - 20}{9 - 3 x}$
31707	Evaluate the Integral	integral of -1/x with respect to x	$\int \frac{- 1}{x} d x$
31708	Evaluate	sixth root of (g^6h)/(h^7)	$\sqrt[6]{\frac{g^{6} h}{h^{7}}}$
31709	Simplify	square root of square root of t^5	$\sqrt{\sqrt{t^{5}}}$
31710	Subtract	(x-1)/(x^2+x-6)-(x-2)/(x^2+4x+3)	$\frac{x - 1}{x^{2} + x - 6} - \frac{x - 2}{x^{2} + 4 x + 3}$
31711	Find the Degree	7x+3x+5	$7 x + 3 x + 5$
31712	Evaluate the Limit	limit as x approaches -1 of (1/(4x+3)+1)/(4x+4)	$lim_{x \to - 1} \frac{\frac{1}{4 x + 3} + 1}{4 x + 4}$
31713	Find the Maximum/Minimum Value	f(x)=-x^4-8x^3-18x^2+6	$f (x) = - x^{4} - 8 x^{3} - 18 x^{2} + 6$
31714	Solve by Graphing	y=2x-3 4x=2y+6	$y = 2 x - 3$ $4 x = 2 y + 6$
31715	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-4) and has a slope of -3/4 ?	What is the equation of the line that passes through the point $(4, - 4)$ and has a slope of $- \frac{3}{4}$ ?
31716	Solve for θ in Degrees	sec(theta)^2-9sec(theta)+20=0	$\sec^{2} (θ) - 9 \sec (θ) + 20 = 0$
31717	Simplify	(x^2)/(4/5-4/x)	$\frac{x^{2}}{\frac{4}{5} - \frac{4}{x}}$
31718	Evaluate the Integral	integral from 0 to 1/2 of arccos(x) with respect to x	$\int_{0}^{\frac{1}{2}} \arccos (x) d x$
31719	Find the Concavity	1/10x^5+2x^4+12x^3	$\frac{1}{10} x^{5} + 2 x^{4} + 12 x^{3}$
31720	Write the Fraction in Simplest Form	((3d^3z)^-3)/(5d^-3z^4)	$\frac{{(3 d^{3} z)}^{- 3}}{5 d^{- 3} z^{4}}$
31721	Simplify	(4b^3-6b^2-b)÷(-4b)	$(4 b^{3} - 6 b^{2} - b) \div (- 4 b)$
31722	Simplify	3/x-2-5/x	$\frac{3}{x} - 2 - \frac{5}{x}$
31723	Simplify the Radical Expression	(3+ square root of 3)/(4 square root of 12)	$\frac{3 + \sqrt{3}}{4 \sqrt{12}}$
31724	Subtract	square root of 18- square root of 12	$\sqrt{18} - \sqrt{12}$
31725	Solve for x	x+y+z=A	$x + y + z = A$
31726	Solve for s	0.75d=(s^2)/30.25	$0.75 d = \frac{s^{2}}{30.25}$
31727	Solve for x	6x=2 square root of 24x+17-8	$6 x = 2 \sqrt{24 x + 17} - 8$
31728	Simplify	2(ab+c)^2+3c(ab+c)-1	$2 {(a b + c)}^{2} + 3 c (a b + c) - 1$
31729	Combine Like Terms	12+3.4x-5.4x-x	$12 + 3.4 x - 5.4 x - x$
31730	Find Trig Functions Using Identities	sec(t)=2 , sin(t)<0	$\sec (t) = 2$ , $\sin (t) < 0$
31731	Find the Equation Using Slope-Intercept Form	a=2 and b=-7	$a = 2$ and $b = - 7$
31732	Find the Domain and Range	y^2(x^2-4)=x+2	$y^{2} (x^{2} - 4) = x + 2$
31733	Find the Domain and Range	f(x)=-1/2 square root of x-3	$f (x) = - \frac{1}{2} \sqrt{x} - 3$
31734	Solve for A	A=1/2(3)^2((7pi)/8)	$A = \frac{1}{2} {(3)}^{2} (\frac{7 π}{8})$
31735	Graph	y>=-1/(3x)+2	$y \geq - \frac{1}{3 x} + 2$
31736	Solve the Inequality for y	1/4y>=8	$\frac{1}{4} y \geq 8$
31737	Find the Derivative - d/dx	y=3x^(-1/2)	$y = 3 x^{- \frac{1}{2}}$
31738	Add	(2x-3)/4+1	$\frac{2 x - 3}{4} + 1$
31739	Solve for x	2/x-(2x+1)/(8x)=-7/8	$\frac{2}{x} - \frac{2 x + 1}{8 x} = \frac{- 7}{8}$
31740	Evaluate	2(-1)-3(-1)^(2/3)	$2 (- 1) - 3 {(- 1)}^{\frac{2}{3}}$
31741	Find the Asymptotes	(3x(3x-5))/((x+5)(x+9))	$\frac{3 x (3 x - 5)}{(x + 5) (x + 9)}$
31742	Find All Complex Solutions	1-2/(x-3)=-12/(x^2-9)	$1 - \frac{2}{x - 3} = - \frac{12}{x^{2} - 9}$
31743	Solve the Rational Equation for a	( fifth root of x^2)/((x^2)^(1/5))=x^a	$\frac{\sqrt[5]{x^{2}}}{{(x^{2})}^{\frac{1}{5}}} = x^{a}$
31744	Find the Center and Radius	x^2+y^2=4^2	$x^{2} + y^{2} = 4^{2}$
31745	Find the Exact Value	5(43-6)	$5 (43 - 6)$
31746	Add	(5x+8)/6+(-8x-3)/6	$\frac{5 x + 8}{6} + \frac{- 8 x - 3}{6}$
31747	Solve for n	9n-8+6n-7=180	$9 n - 8 + 6 n - 7 = 180$
31748	Evaluate	Evaluate (-9)^2*(-9)^2	Evaluate ${(- 9)}^{2} \cdot {(- 9)}^{2}$
31749	Find the Derivative - d/dx	-1/3(x^7+2x-9)	$- \frac{1}{3} (x^{7} + 2 x - 9)$
31750	Find the Domain and Range	f(x)=(X-5)^2-3	$f (x) = {(X - 5)}^{2} - 3$
31751	Solve for x	(2x-6)/2+3=10	$\frac{2 x - 6}{2} + 3 = 10$
31752	Simplify	((20x-4x^2)/(2x^2+2x)*(x^2-100)/(x+10))÷((x^2-11x+10)/(x^2-1))	$\frac{20 x - 4 x^{2}}{2 x^{2} + 2 x} \cdot \frac{x^{2} - 100}{x + 10} \div \frac{x^{2} - 11 x + 10}{x^{2} - 1}$
31753	Evaluate the Limit	limit as h approaches 0 of (arctan(x+h)-arctan(x))/h	$lim_{h \to 0} \frac{\arctan (x + h) - \arctan (x)}{h}$
31754	Solve for x	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
31755	Solve for x in Degrees	8sin(x)cos(x)+cos(x)=0	$8 \sin (x) \cos (x) + \cos (x) = 0$
31756	Evaluate the Integral	integral of 3x(x+6)^2 with respect to x	$\int 3 x {(x + 6)}^{2} d x$
31757	Find the Tangent Line at (1,-4)	y=x^3-3x^2-2 , (1,-4)	$y = x^{3} - 3 x^{2} - 2$ , $(1, - 4)$
31758	Find the Parallel Line	through: (-3,-3) ; parallel to y=7/3x+3	through: $(- 3, - 3)$ ; parallel to $y = \frac{7}{3} x + 3$
31759	Solve for m	6(m-2)+14=3(m+2)-10	$6 (m - 2) + 14 = 3 (m + 2) - 10$
31760	Write in Standard Form	(x^2-4x-4)(3x^2+x-1)	$(x^{2} - 4 x - 4) (3 x^{2} + x - 1)$
31761	Evaluate	(3/(x-1)-4)/(2-2/(x-1))	$\frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}}$
31762	Evaluate	(pi(2)^2)/2	$\frac{π {(2)}^{2}}{2}$
31763	Solve the System of Equations	-3x+y-3z=-9 x+3y-3z=3 7x-2y+3z=3	$- 3 x + y - 3 z = - 9$ $x + 3 y - 3 z = 3$ $7 x - 2 y + 3 z = 3$
31764	Find the Length of b	tri{}{}{10}{}{6}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
31765	Solve by Addition/Elimination	3x-5y=-39 3y+7x=41	$3 x - 5 y = - 39$ $3 y + 7 x = 41$
31766	Evaluate the Integral	integral from 0 to 1 of x*5^x with respect to x	$\int_{0}^{1} x \cdot 5^{x} d x$
31767	Rationalize the Denominator	-4/(3+ square root of 13)	$\frac{- 4}{3 + \sqrt{13}}$
31768	Evaluate	1/2+1/(2x)=(x^2-7x+10)/(4x)	$\frac{1}{2} + \frac{1}{2 x} = \frac{x^{2} - 7 x + 10}{4 x}$
31769	Simplify	(2z)/(z-1)-(3z)/(z+1)	$\frac{2 z}{z - 1} - \frac{3 z}{z + 1}$
31770	Evaluate Using L'Hospital's Rule	limit as x approaches -3 of (4 natural log of 2x+7)/(2tan(-6-2x))	$lim_{x \to - 3} \frac{4 \ln (2 x + 7)}{2 \tan (- 6 - 2 x)}$
31771	Solve the Inequality for x	cube root of x+5>=2	$\sqrt[3]{x + 5} \geq 2$
31772	Find the Other Trig Values in Quadrant I	tan(30 degrees )=5/3	$\tan (30 °) = \frac{5}{3}$
31773	Solve the Inequality for x	x+3<(2x+3)/-6	$x + 3 < \frac{2 x + 3}{- 6}$
31774	Evaluate	2 3/4+(1 1/2+3.8)	$2 \frac{3}{4} + (1 \frac{1}{2} + 3.8)$
31775	Simplify the Radical Expression	( square root of 9)/( square root of 25)	$\frac{\sqrt{9}}{\sqrt{25}}$
31776	Convert to Radical Form	(-1/(4d^2ef^3))^(-2/3)	${(\frac{- 1}{4 d^{2} e f^{3}})}^{- \frac{2}{3}}$
31777	Simplify	2u(6u^2-9uv+v^2)	$2 u (6 u^{2} - 9 u v + v^{2})$
31778	Find the Holes in the Graph	y=(x+2)/(x^2-4)	$y = \frac{x + 2}{x^{2} - 4}$
31779	Find the Antiderivative	(x^3+3x^2+3x-1)/(x^2+2x+1)	$\frac{x^{3} + 3 x^{2} + 3 x - 1}{x^{2} + 2 x + 1}$
31780	Simplify	3/(9x^3-225x)(25-x^2)/(x^2-25)(x^2+5x)/(4x)	$\frac{3}{9 x^{3} - 225 x} \cdot \frac{25 - x^{2}}{x^{2} - 25} \cdot \frac{x^{2} + 5 x}{4 x}$
31781	Write in Standard Form	-2/3a+5/6a-1/6	$- \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6}$
31782	Evaluate the Integral	integral of sin(x)sin(cos(x)) with respect to x	$\int \sin (x) \sin (\cos (x)) d x$
31783	Find the Roots (Zeros)	3x(x-4)(x+2/3)(x+9)	$3 x (x - 4) (x + \frac{2}{3}) (x + 9)$
31784	Divide Using Synthetic Division	(3x^2-4+x^3)÷(x-1)	$(3 x^{2} - 4 + x^{3}) \div (x - 1)$
31785	Simplify	(16bc-12cd)+(-8cd+6bc+4bd)	$(16 b c - 12 c d) + (- 8 c d + 6 b c + 4 b d)$
31786	Find the x and y Intercepts	y=(x+2)^2(x+1)(x-1)(x-2)^2	$y = {(x + 2)}^{2} (x + 1) (x - 1) {(x - 2)}^{2}$
31787	Find Amplitude, Period, and Phase Shift	y=2cot(1/3x+pi/6)+2	$y = 2 \cot (\frac{1}{3} x + \frac{π}{6}) + 2$
31788	Solve the Inequality for n	30<-3n	$30 < - 3 n$
31789	Simplify	cube root of fifth root of 27	$\sqrt[3]{\sqrt[5]{27}}$
31790	Find the Antiderivative	f(x)=-e^(-x)	$f (x) = - e^{- x}$
31791	Simplify the Radical Expression	-10x square root of 6x- square root of 24x^3	$- 10 x \sqrt{6 x} - \sqrt{24 x^{3}}$
31792	Graph	\|y\|<x^2-4x+3	$\| y \| < x^{2} - 4 x + 3$
31793	Find the Derivative - d/dx	square root of (4x^2)/(6+2x)	$\sqrt{\frac{4 x^{2}}{6 + 2 x}}$
31794	Graph	5x+3y<x+6	$5 x + 3 y < x + 6$
31795	Graph	Graph 6x-5y=30	Graph $6 x - 5 y = 30$
31796	Find Where Increasing/Decreasing	y=2x^3+3x^2-12x	$y = 2 x^{3} + 3 x^{2} - 12 x$
31797	Solve the Rational Equation for x	(2x^2+1)/(x-1)+x=3+3/(x-1)	$\frac{2 x^{2} + 1}{x - 1} + x = 3 + \frac{3}{x - 1}$
31798	Simplify	(x^-1-y^-1)/((xy)^-1)	$\frac{x^{- 1} - y^{- 1}}{{(x y)}^{- 1}}$
31799	Simplify	4a^33b^35a^2	$4 a^{3} \cdot 3 b^{3} \cdot 5 a^{2}$
31800	Evaluate	fourth root of 5^3* sixth root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt[6]{5}$